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Finding the Third Proportional to 282,014 and 577,783

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Solution

The third proportional to 282,014 and 577,783 is: 1,183,746.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,014 : 577,783 = 577,783 : x
  2. Step 2: Convert to fraction form
    282,014/577,783 = 577,783/x
  3. Step 3: Cross multiply
    282,014x = 577,783 × 577,783
  4. Step 4: Simplify right side
    282,014x = 333,833,195,089
  5. Step 5: Solve for x
    x = 333,833,195,089/282,014
  6. Step 6: Final answer
    x = 1,183,746.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.